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myrzilka [38]
3 years ago
5

Help please! Thank you

Mathematics
1 answer:
tatiyna3 years ago
8 0

Answer:

I hope 3/4full is the correct answer

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The series as represented in the task content is divergent and hence; diverges.

<h3>What convergence and divergence in series?</h3>

It follows from the task content that the series defined by the summation expression as represented above is to be identified as divergent or convergent.

It is noteworthy to know that;

If a sequence converges, it means that the limit of the sequence exists as n → ∞. Also, if the limit of the sequence as n → ∞ does not exist, Then, such series is said to diverges.

Therefore, by evaluation as the limit of the expression k sin²k / 1 + k³ as k → ∞ is; Undefined and hence does not exist.

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